123330221331041 has 2 divisors, whose sum is σ = 123330221331042. Its totient is φ = 123330221331040.

The previous prime is 123330221330983. The next prime is 123330221331073. The reversal of 123330221331041 is 140133122033321.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 62946769210000 + 60383452121041 = 7933900^2 + 7770679^2 .

It is a cyclic number.

It is not a de Polignac number, because 123330221331041 - 2³⁰ = 123329147589217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 123330221330995 and 123330221331013.

It is not a weakly prime, because it can be changed into another prime (123330221331241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61665110665520 + 61665110665521.

It is an arithmetic number, because the mean of its divisors is an integer number (61665110665521).

Almost surely, 2^{123330221331041} is an apocalyptic number.

It is an amenable number.

123330221331041 is a deficient number, since it is larger than the sum of its proper divisors (1).

123330221331041 is an equidigital number, since it uses as much as digits as its factorization.

123330221331041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 123330221331041 its reverse (140133122033321), we get a palindrome (263463343364362).

The spelling of 123330221331041 in words is "one hundred twenty-three trillion, three hundred thirty billion, two hundred twenty-one million, three hundred thirty-one thousand, forty-one".